Following play-by-play stints with the West Virginia Mountaineers in the late 1950s, and the Dallas Cowboys and SMU Mustangs in the early 1960s, Randolph went to St. Louis. He served as a staff announcer at KMOX radio in 1966, and as announcer and sports director for KSD (later KSDK) television from 1967 to 1988. At KSDK (Channel 5), Randolph anchored sports coverage for the station's newscasts and called TV play-by-play for St. Louis Cardinals baseball (as well as the first season of St. Louis Blues hockey in 1967–68). Randolph served as the over-the-air TV voice of the Cardinals for 21 seasons, split over two stints. He had a 17-year stint in the Cards' TV booth that ended after the 1987 season when the station lost the local rights, but was brought back in 2007 when KSDK got its small part of the TV pie, which ended in 2010. He does the "Randolph Report" on KFNS (590 AM) radio. Posted October 1, 2010, last referenced October 3, 2010.
Randolph called play-by-play for baseball's Cincinnati Reds in 1988 and Florida Marlins from 1993-1996, and hosted the Marlins' TV pregame from 1997-2000. He later broadcast golf events for CNBC and The Golf Channel. From 2007-2010 he called St. Louis Cardinals games on KSDK television. On October 2, 2010, the day before his final Cardinal broadcast, he was honored by the team by being selected to throw out the ceremonial first pitch to longtime friend and broadcast partner Mike Shannon.[4] In 2011, Randolph worked as a features reporter and interviewer for Cardinals broadcasts on Fox Sports Midwest.
Randolph's son, Jay Jr., formerly provided commentary for the PGA Tour Network on XM Satellite Radio, and hosted a sports-talk show on KFNS radio (590 AM) in St. Louis. He also appeared frequently on KFNS 590 AM) in St. Louis. Jay Jr. died from cancer in 2022.[5]